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Lesson: Modeling with Parabolas

Worksheet: Modeling with Parabolas • 15 Questions

Q1:

The arch of a curved iron gate with side length 3 m can be represented by the function . Find the maximum height and width of the gate.

  • AThe maximum height is 2 meters and the width is 6 meters.
  • BThe maximum height is 6 meters and the width is 4 meters.
  • CThe maximum height is 4 meters and the width is 6 meters.
  • DThe maximum height is 6 meters and the width is 2 meters.

Q2:

The arch of a curved iron gate with side length 5 m can be represented by the function . Find the value of .

  • A
  • B
  • C
  • D

Q3:

In a baseball practice, Harold threw the ball such that , its height above the ground in feet seconds after he released it, could be modeled by the quadratic equation

Write an equation that could be solved to find the times at which the ball was at a height of 33 feet above the ground.

  • A
  • B
  • C
  • D

For how long was the ball 33 feet above the ground?

  • A s
  • B s
  • C s
  • D s
  • E s

Q4:

A sprinkler is used to water a garden. The height , in meters, of the jet of water a horizontal distance meters from the sprinkler can be found using the quadratic equation

Write an equation that will give the distance, in meters, between the sprinkler and the point where the jet hits the ground.

  • A
  • B
  • C
  • D
  • E

How far from the sprinkler does the jet hit the ground?

Q5:

A child threw a ball vertically upwards with a speed m/s. The ball’s height above the ground seconds after it was thrown was 8 meters. The values of and satisfy the equation .

If the ball reached 8 m after a quarter of a second, at what speed was it thrown?

If the ball’s initial speed was 16 m/s, for how long was it higher than 8 m?

  • A s
  • B s
  • C s
  • D s
  • E s
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